Plateau (mathematics)

A plateau of a function is a part of its domain where the function has constant value.

More formally, let U, V be topological spaces. A plateau for a function f: U → V is a path-connected set of points P of U such that for some y we have

f (p) = y

for all p in P.

Examples

Plateaus can be observed in mathematical models as well as natural systems. In nature, plateaus can be observed in physical, chemical and biological systems. An example of an observed plateau in the natural world is in the tabulation of biodiversity of life through time. [1]

gollark: I mean, at the extreme end you can probably just dump it as plaintext and Google will try and do something.
gollark: Generally not very much, I think.
gollark: 1. encode data in HTML2. publish data on publicly accessible webserver3. make Google index it4. do search queries with `site:yourdomain`
gollark: No, that's far too complex what even is that?
gollark: Why do you need 500 pages on searching? It's simple.

See also

References
  1. Sahney, S. & Benton, M.J. (2008). "Recovery from the most profound mass extinction of all time" (PDF). Proceedings of the Royal Society B: Biological Sciences. 275 (1636): 759–65. doi:10.1098/rspb.2007.1370. PMC 2596898. PMID 18198148.

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